Issolvi 05(sqrt{y^2+10}+y)(sqrt{y^2+10}+y)-2

$$05( \sqrt{ { y }^{ 2 } +10 } +y)( \sqrt{ { y }^{ 2 } +10 } +y)-2$$

Evalwa

$$-2$$

Passi tas-Soluzzjonijiet

Immultiplika \sqrt{y^{2}+10}+y u \sqrt{y^{2}+10}+y biex tikseb \left(\sqrt{y^{2}+10}+y\right)^{2}.

$$0\times 5\left(\sqrt{y^{2}+10}+y\right)^{2}-2$$

Immultiplika 0 u 5 biex tikseb 0.

$$0\left(\sqrt{y^{2}+10}+y\right)^{2}-2$$

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(\sqrt{y^{2}+10}+y\right)^{2}.

$$0\left(\left(\sqrt{y^{2}+10}\right)^{2}+2\sqrt{y^{2}+10}y+y^{2}\right)-2$$

Ikkalkula \sqrt{y^{2}+10} bil-power ta' 2 u tikseb y^{2}+10.

$$0\left(y^{2}+10+2\sqrt{y^{2}+10}y+y^{2}\right)-2$$

Ikkombina y^{2} u y^{2} biex tikseb 2y^{2}.

$$0\left(2y^{2}+10+2\sqrt{y^{2}+10}y\right)-2$$

Uża l-propjetà distributtiva biex timmultiplika 0 b'2y^{2}+10+2\sqrt{y^{2}+10}y u kkombina termini simili.

$$3\times 0-2$$

Immultiplika 3 u 0 biex tikseb 0.

$$0-2$$

Naqqas 2 minn 0 biex tikseb -2.

$$-2$$

Fattur

$$-2$$